1) The expression is incomplete and does not make sense as written. The trigonometric functions are not applied correctly.
2)((1+cos)/sin) * (1 - cos/sin)= (1 + cos) / sin - cos / sin= (1 + cos - cos) / sin= 1 / sin= csc
The simplified expression is csc(x).
3)(1 - cos^2)(90) / (cos + 4)= sin^2(90) / (cos + 4)= 1 / (cos + 4)= 1 / (cos(90) + 4)= 1 / (0 + 4)= 1 / 4
The final simplified expression is 1 / 4.
1) The expression is incomplete and does not make sense as written. The trigonometric functions are not applied correctly.
2)
((1+cos)/sin) * (1 - cos/sin)
= (1 + cos) / sin - cos / sin
= (1 + cos - cos) / sin
= 1 / sin
= csc
The simplified expression is csc(x).
3)
(1 - cos^2)(90) / (cos + 4)
= sin^2(90) / (cos + 4)
= 1 / (cos + 4)
= 1 / (cos(90) + 4)
= 1 / (0 + 4)
= 1 / 4
The final simplified expression is 1 / 4.